Question

2) The density of ethanol is 789 kg/m³. If a type of hand sanitizer is 60% ethanol by mass, how many mL of
ethanol are in a 100 g of this hand sanitizer?

Answer 1

Answer:

76.04mL

Explanations

The formula for calculating the density of a substance is expressed as:

$Density=\frac{Mass}{volume}$

60% m/m = 60 g of ethanol in 100 g of solution

Given that the density of ethanol = 789 kg/m³.

Convert the 60%m/m mass to kg to have;

mass of ethanol required = 0.06kg

Determine the volume

$\begin{gathered} volume=\frac{mass}{density} \\ volume=\frac{0.06}{789} \\ volume=0.00007604m^3 \end{gathered}$

Convert cubic meters to mL

Since 1m³ = 10⁶mL, hence

0.00007604m³ = 0.00007604 * 10⁶

0.00007604m³ = 76.04mL

Hence the volume of ethanol that are in a 100 g of this hand sanitizer is 76.04mL